Question

3/43 П (5arcctg(-1)+arcsin1/2+arctg(-корень из 3) )

Answer 1

$frac{3}{43}cdot pi cdot (5, arcctg(-1)+arcsinfrac{1}{2}+arctg(-sqrt3))=\\= frac{3pi }{43}cdot (5cdot (-frac{pi}{4})+frac{pi}{6}-frac{pi }{3} )=frac{3pi }{43}cdot frac{-15pi +2pi -4pi }{12}=frac{pi }{43}cdot frac{-17pi }{4}=-frac{17pi ^2}{172}$